4119660864 has 672 divisors, whose sum is σ = 15080284800. Its totient is φ = 1094860800.

The previous prime is 4119660827. The next prime is 4119660869. The reversal of 4119660864 is 4680669114.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4119660869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 67535394 + ... + 67535454.

It is an arithmetic number, because the mean of its divisors is an integer number (22440900).

Almost surely, 2^4119660864 is an apocalyptic number.

4119660864 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4119660864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7540142400).

4119660864 is an abundant number, since it is smaller than the sum of its proper divisors (10960623936).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4119660864 is a wasteful number, since it uses less digits than its factorization.

4119660864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 4119660864 is about 64184.5843174200. The cubic root of 4119660864 is about 1603.0749283906.

The spelling of 4119660864 in words is "four billion, one hundred nineteen million, six hundred sixty thousand, eight hundred sixty-four".